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1030014640 = 2457922063
BaseRepresentation
bin111101011001001…
…100011010110000
32122210011011110101
4331121030122300
54102140432030
6250112442144
734344660064
oct7531143260
92583134411
101030014640
11489464276
12248b49354
13135518a25
149ab21aa4
156065e7ca
hex3d64c6b0

1030014640 has 60 divisors (see below), whose sum is σ = 2426657184. Its totient is φ = 406593408.

The previous prime is 1030014637. The next prime is 1030014641. The reversal of 1030014640 is 464100301.

It is a happy number.

1030014640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10300146402 = 2121860317228659200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030014641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498249 + ... + 500311.

Almost surely, 21030014640 is an apocalyptic number.

1030014640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213328592).

1030014640 is an abundant number, since it is smaller than the sum of its proper divisors (1396642544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030014640 is an equidigital number, since it uses as much as digits as its factorization.

1030014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1030014640 is about 32093.8411537167. The cubic root of 1030014640 is about 1009.9064188040.

Adding to 1030014640 its reverse (464100301), we get a palindrome (1494114941).

The spelling of 1030014640 in words is "one billion, thirty million, fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 2063 3160 4126 6241 6320 8252 10315 12482 16504 20630 24964 31205 33008 41260 49928 62410 82520 99856 124820 162977 165040 249640 325954 499280 651908 814885 1303816 1629770 2607632 3259540 6519080 12875183 13038160 25750366 51500732 64375915 103001464 128751830 206002928 257503660 515007320 1030014640